#include <tgmath.h>
#include <gmp.h>
#include <mpfr.h>
#include <stdio.h>
#include <stdbool.h>

char *name = "Toniolo and Linder, Equation (3b), real";

double f_if(float kx, float ky, float th) {
        float r8354 = ky;
        float r8355 = sin(r8354);
        float r8356 = kx;
        float r8357 = sin(r8356);
        float r8358 = 2;
        float r8359 = pow(r8357, r8358);
        float r8360 = pow(r8355, r8358);
        float r8361 = r8359 + r8360;
        float r8362 = sqrt(r8361);
        float r8363 = r8355 / r8362;
        float r8364 = th;
        float r8365 = sin(r8364);
        float r8366 = r8363 * r8365;
        return r8366;
}

double f_id(double kx, double ky, double th) {
        double r8367 = ky;
        double r8368 = sin(r8367);
        double r8369 = kx;
        double r8370 = sin(r8369);
        double r8371 = 2;
        double r8372 = pow(r8370, r8371);
        double r8373 = pow(r8368, r8371);
        double r8374 = r8372 + r8373;
        double r8375 = sqrt(r8374);
        double r8376 = r8368 / r8375;
        double r8377 = th;
        double r8378 = sin(r8377);
        double r8379 = r8376 * r8378;
        return r8379;
}


double f_of(float kx, float ky, float th) {
        float r8380 = ky;
        float r8381 = sin(r8380);
        float r8382 = 1;
        float r8383 = kx;
        float r8384 = sin(r8383);
        float r8385 = 2;
        float r8386 = pow(r8384, r8385);
        float r8387 = pow(r8381, r8385);
        float r8388 = r8386 + r8387;
        float r8389 = sqrt(r8388);
        float r8390 = r8382 / r8389;
        float r8391 = th;
        float r8392 = sin(r8391);
        float r8393 = r8390 * r8392;
        float r8394 = r8381 * r8393;
        return r8394;
}

double f_od(double kx, double ky, double th) {
        double r8395 = ky;
        double r8396 = sin(r8395);
        double r8397 = 1;
        double r8398 = kx;
        double r8399 = sin(r8398);
        double r8400 = 2;
        double r8401 = pow(r8399, r8400);
        double r8402 = pow(r8396, r8400);
        double r8403 = r8401 + r8402;
        double r8404 = sqrt(r8403);
        double r8405 = r8397 / r8404;
        double r8406 = th;
        double r8407 = sin(r8406);
        double r8408 = r8405 * r8407;
        double r8409 = r8396 * r8408;
        return r8409;
}

void mpfr_fmod2(mpfr_t r, mpfr_t n, mpfr_t d, mpfr_rnd_t rmd) {
        mpfr_fmod(r, n, d, rmd);
        if (mpfr_cmp_ui(r, 0) < 0) mpfr_add(r, r, d, rmd);
}


static mpfr_t r8410, r8411, r8412, r8413, r8414, r8415, r8416, r8417, r8418, r8419, r8420, r8421, r8422;

void setup_mpfr_f_im() {
        mpfr_set_default_prec(592);
        mpfr_init(r8410);
        mpfr_init(r8411);
        mpfr_init(r8412);
        mpfr_init(r8413);
        mpfr_init_set_str(r8414, "2", 10, MPFR_RNDN);
        mpfr_init(r8415);
        mpfr_init(r8416);
        mpfr_init(r8417);
        mpfr_init(r8418);
        mpfr_init(r8419);
        mpfr_init(r8420);
        mpfr_init(r8421);
        mpfr_init(r8422);
}

double f_im(double kx, double ky, double th) {
        mpfr_set_d(r8410, ky, MPFR_RNDN);
        mpfr_sin(r8411, r8410, MPFR_RNDN);
        mpfr_set_d(r8412, kx, MPFR_RNDN);
        mpfr_sin(r8413, r8412, MPFR_RNDN);
        ;
        mpfr_pow(r8415, r8413, r8414, MPFR_RNDN);
        mpfr_pow(r8416, r8411, r8414, MPFR_RNDN);
        mpfr_add(r8417, r8415, r8416, MPFR_RNDN);
        mpfr_sqrt(r8418, r8417, MPFR_RNDN);
        mpfr_div(r8419, r8411, r8418, MPFR_RNDN);
        mpfr_set_d(r8420, th, MPFR_RNDN);
        mpfr_sin(r8421, r8420, MPFR_RNDN);
        mpfr_mul(r8422, r8419, r8421, MPFR_RNDN);
        return mpfr_get_d(r8422, MPFR_RNDN);
}

static mpfr_t r8423, r8424, r8425, r8426, r8427, r8428, r8429, r8430, r8431, r8432, r8433, r8434, r8435, r8436, r8437;

void setup_mpfr_f_fm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8423);
        mpfr_init(r8424);
        mpfr_init_set_str(r8425, "1", 10, MPFR_RNDN);
        mpfr_init(r8426);
        mpfr_init(r8427);
        mpfr_init_set_str(r8428, "2", 10, MPFR_RNDN);
        mpfr_init(r8429);
        mpfr_init(r8430);
        mpfr_init(r8431);
        mpfr_init(r8432);
        mpfr_init(r8433);
        mpfr_init(r8434);
        mpfr_init(r8435);
        mpfr_init(r8436);
        mpfr_init(r8437);
}

double f_fm(double kx, double ky, double th) {
        mpfr_set_d(r8423, ky, MPFR_RNDN);
        mpfr_sin(r8424, r8423, MPFR_RNDN);
        ;
        mpfr_set_d(r8426, kx, MPFR_RNDN);
        mpfr_sin(r8427, r8426, MPFR_RNDN);
        ;
        mpfr_pow(r8429, r8427, r8428, MPFR_RNDN);
        mpfr_pow(r8430, r8424, r8428, MPFR_RNDN);
        mpfr_add(r8431, r8429, r8430, MPFR_RNDN);
        mpfr_sqrt(r8432, r8431, MPFR_RNDN);
        mpfr_div(r8433, r8425, r8432, MPFR_RNDN);
        mpfr_set_d(r8434, th, MPFR_RNDN);
        mpfr_sin(r8435, r8434, MPFR_RNDN);
        mpfr_mul(r8436, r8433, r8435, MPFR_RNDN);
        mpfr_mul(r8437, r8424, r8436, MPFR_RNDN);
        return mpfr_get_d(r8437, MPFR_RNDN);
}

static mpfr_t r8438, r8439, r8440, r8441, r8442, r8443, r8444, r8445, r8446, r8447, r8448, r8449, r8450, r8451, r8452;

void setup_mpfr_f_dm() {
        mpfr_set_default_prec(592);
        mpfr_init(r8438);
        mpfr_init(r8439);
        mpfr_init_set_str(r8440, "1", 10, MPFR_RNDN);
        mpfr_init(r8441);
        mpfr_init(r8442);
        mpfr_init_set_str(r8443, "2", 10, MPFR_RNDN);
        mpfr_init(r8444);
        mpfr_init(r8445);
        mpfr_init(r8446);
        mpfr_init(r8447);
        mpfr_init(r8448);
        mpfr_init(r8449);
        mpfr_init(r8450);
        mpfr_init(r8451);
        mpfr_init(r8452);
}

double f_dm(double kx, double ky, double th) {
        mpfr_set_d(r8438, ky, MPFR_RNDN);
        mpfr_sin(r8439, r8438, MPFR_RNDN);
        ;
        mpfr_set_d(r8441, kx, MPFR_RNDN);
        mpfr_sin(r8442, r8441, MPFR_RNDN);
        ;
        mpfr_pow(r8444, r8442, r8443, MPFR_RNDN);
        mpfr_pow(r8445, r8439, r8443, MPFR_RNDN);
        mpfr_add(r8446, r8444, r8445, MPFR_RNDN);
        mpfr_sqrt(r8447, r8446, MPFR_RNDN);
        mpfr_div(r8448, r8440, r8447, MPFR_RNDN);
        mpfr_set_d(r8449, th, MPFR_RNDN);
        mpfr_sin(r8450, r8449, MPFR_RNDN);
        mpfr_mul(r8451, r8448, r8450, MPFR_RNDN);
        mpfr_mul(r8452, r8439, r8451, MPFR_RNDN);
        return mpfr_get_d(r8452, MPFR_RNDN);
}